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- W2951377262 abstract "The purpose of this article is to give an explicit formula for all curves of constant torsion $tau$ in the unit two-sphere $S^2(1)$. These curves and their basic properties have been known since the 1890's, and some of these properties are discussed in the Appendix. Some example curves, computed with a standard ODE package, with $tau=.1,.5,1,2$ are shown in Figure ref{peter}. Though their existence and some of their general properties were known, our explicit formulas for them, in terms of hypergeometric functions, are new." @default.
- W2951377262 created "2019-06-27" @default.
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- W2951377262 date "2013-11-30" @default.
- W2951377262 modified "2023-09-27" @default.
- W2951377262 title "An Explicit Formula for the Spherical Curves with Constant Torsion" @default.
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